Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed b...Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed by using the Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations.展开更多
The bifurcations of traveling wave solutions of the Broer–Kaup system are investigated and all possible exact parametric representations of the smooth and peaked solitary waves are presented.
Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit pa...Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.展开更多
文摘Taking the (2+1)-dimensional Broer-Kaup-Kupershmidt system as a simple example, some families of rational form solitary wave solutions, triangular periodic wave solutions, and rational wave solutions are constructed by using the Riccati equation rational expansion method presented by us. The method can also be applied to solve more nonlinear partial differential equation or equations.
基金Supported by the Natural Science Foundation of Yunnan Province under Grant No.2013FZ117the National Natural Science Foundation of China under No.11364017
文摘The bifurcations of traveling wave solutions of the Broer–Kaup system are investigated and all possible exact parametric representations of the smooth and peaked solitary waves are presented.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10671179, 10772158)
文摘Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.
基金Project supported by Science Research Foundation of the Returned Overseas Chinese Scholar,SEM,the NSF of Zhejiang Prov-ince(LY13A010020)Program for HNU(HNUEYT2013)
基金Supported by the Special Foundation of Doctoral Unit of the Ministry of Education of China(No.20070128001)Scientific Research innovation Project of Shanghai Education Committee(No.09YZ239)~~
